{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "0bc0b39e-0ae5-4506-85ad-de995e6ccdb6",
   "metadata": {},
   "source": [
    "Chapter 31\n",
    "# 从几何角度理解PCA\n",
    "Book_1《编程不难》 | 鸢尾花书：从加减乘除到机器学习  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "d8ccc243-6fee-4ff1-bf1f-194ca2a093a8",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 导入包\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import pandas_datareader as pdr\n",
    "# pip install pandas_datareader\n",
    "import seaborn as sns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "917fd0f9-587a-4526-af31-d816567c6a80",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 下载数据\n",
    "df = pdr.data.DataReader(['DGS6MO','DGS1'], \n",
    "                          data_source='fred', \n",
    "                          start='01-01-2022', \n",
    "                          end='12-31-2022')\n",
    "df.to_csv('IR_data.csv')\n",
    "# 如果不能下载数据，请用pandas.read_csv() 读入配套数据\n",
    "df = df.dropna()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "e9a2e4bf-0948-459a-a6f2-ff5b92786462",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>X1</th>\n",
       "      <th>X2</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>DATE</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2022-01-03</th>\n",
       "      <td>0.22</td>\n",
       "      <td>0.40</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-01-04</th>\n",
       "      <td>0.22</td>\n",
       "      <td>0.38</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-01-05</th>\n",
       "      <td>0.22</td>\n",
       "      <td>0.41</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-01-06</th>\n",
       "      <td>0.23</td>\n",
       "      <td>0.45</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-01-07</th>\n",
       "      <td>0.24</td>\n",
       "      <td>0.43</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              X1    X2\n",
       "DATE                  \n",
       "2022-01-03  0.22  0.40\n",
       "2022-01-04  0.22  0.38\n",
       "2022-01-05  0.22  0.41\n",
       "2022-01-06  0.23  0.45\n",
       "2022-01-07  0.24  0.43"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 修改列标签\n",
    "df = df.rename(columns={'DGS6MO': 'X1', \n",
    "                        'DGS1': 'X2'})\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "425ead45-fd3a-42f2-8d6e-7a0df012a98d",
   "metadata": {},
   "outputs": [],
   "source": [
    "X_df = df.pct_change(); \n",
    "# 计算日收益率\n",
    "X_df = X_df.dropna()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "44f63ead-3d88-4a3a-8b2a-7789b85e958a",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.preprocessing import StandardScaler\n",
    "scaler = StandardScaler()\n",
    "X_scaled = scaler.fit_transform(X_df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "ec96f64b-35cb-4af4-8a41-b603972c62cc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1.00404858, 0.74432704],\n",
       "       [0.74432704, 1.00404858]])"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.cov(X_scaled.T)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "1f948c9c-294c-43ac-9a9b-5ba2a510c2a6",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.covariance import EmpiricalCovariance\n",
    "x1_array = np.linspace(-6,6,601)\n",
    "x2_array = np.linspace(-6,6,601)\n",
    "xx1, xx2 = np.meshgrid(x1_array, x2_array)\n",
    "xx12 = np.c_[xx1.ravel(), xx2.ravel()]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "48290c21-a001-424b-9251-9e33adfcfc38",
   "metadata": {},
   "outputs": [],
   "source": [
    "COV = EmpiricalCovariance().fit(X_scaled)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "42c11df4-adfb-4cd1-b090-9535ebef8716",
   "metadata": {},
   "outputs": [],
   "source": [
    "mahal_sq_Xc = COV.mahalanobis(xx12)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "a12a5166-14fc-46c5-b36d-7b7e4b128855",
   "metadata": {},
   "outputs": [],
   "source": [
    "mahal_sq_dd = mahal_sq_Xc.reshape(xx1.shape)\n",
    "mahal_dd = np.sqrt(mahal_sq_dd)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "c34bfa78-b145-4e5a-809b-80e547603c47",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "plt.contourf(xx1, xx2, mahal_dd, \n",
    "             cmap='Blues_r', levels=np.linspace(0,6,13))\n",
    "\n",
    "plt.scatter(X_scaled[:,0],X_scaled[:,1], \n",
    "            s = 38, edgecolor = 'w', alpha = 0.5,\n",
    "            marker = '.', color = 'k')\n",
    "\n",
    "plt.plot(X_scaled[:,0].mean(),X_scaled[:,1].mean(), \n",
    "         marker = 'x',\n",
    "         color = 'k', \n",
    "         markersize = 18)\n",
    "\n",
    "ax.axvline(x = 0, c = 'k')\n",
    "ax.axhline(y = 0, c = 'k')\n",
    "ax.grid('off')\n",
    "ax.set_aspect('equal', adjustable='box')\n",
    "ax.set_xbound(lower = -6, upper = 6)\n",
    "ax.set_ybound(lower = -6, upper = 6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "e671ddf1-11fc-4bea-a0e9-195b811a12e9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "plt.contour(xx1, xx2, mahal_dd, \n",
    "            colors='k', levels=np.linspace(0,6,13))\n",
    "\n",
    "ax.axvline(x = 0, c = 'k')\n",
    "ax.axhline(y = 0, c = 'k')\n",
    "ax.set_xticks([])\n",
    "ax.set_yticks([])\n",
    "ax.axis('off')\n",
    "ax.set_aspect('equal', adjustable='box')\n",
    "ax.set_xbound(lower = -6, upper = 6)\n",
    "ax.set_ybound(lower = -6, upper = 6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "bd34bbfb-baf7-4c57-8488-0a79ebaedffe",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[ 1. -0.]\n",
      " [-0.  1.]]\n"
     ]
    }
   ],
   "source": [
    "from sklearn.decomposition import PCA\n",
    "\n",
    "# 主成分分析\n",
    "n_components = 2 # 主成分数量\n",
    "pca = PCA(n_components=2)\n",
    "\n",
    "# 拟合PCA模型\n",
    "pca.fit(X_scaled)\n",
    "\n",
    "# 获取loadings（主成分方向向量）\n",
    "loadings = pca.components_.T\n",
    "V = loadings\n",
    "print(np.round(loadings.T @ loadings))\n",
    "v1 = V[:,[0]] # 第一主成分方向\n",
    "v2 = V[:,[1]] # 第二主成分方向"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "26832f69-7685-4d1c-be47-6b6283a28df4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1.74837562, 0.25972155])"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca.explained_variance_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "27a3b4e4-033d-46b8-abab-5fa9c7b08290",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.87066286, 0.12933714])"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca.explained_variance_ratio_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "4a189854-69d4-4a5a-b2ca-bb4e2565ad86",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 自定义绘制向量函数\n",
    "def draw_vector(vector,RBG): \n",
    "    array = np.array([[0, 0, vector[0], vector[1]]], dtype=object)\n",
    "    X, Y, U, V = zip(*array)\n",
    "    plt.quiver(X, Y, U, V,angles='xy', \n",
    "               scale_units='xy',scale=1,color = RBG,\n",
    "               zorder = 1e5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "13baeece-bf45-4c1a-b7d8-493aa8eb55b6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "plt.contourf(xx1, xx2, mahal_dd, \n",
    "             cmap='Blues_r', levels=np.linspace(0,6,13))\n",
    "\n",
    "plt.scatter(X_scaled[:,0],X_scaled[:,1], \n",
    "            s = 38, edgecolor = 'w', alpha = 0.5,\n",
    "            marker = '.', color = 'k')\n",
    "\n",
    "plt.plot(X_scaled[:,0].mean(),X_scaled[:,1].mean(), \n",
    "         marker = 'x',\n",
    "         color = 'k', \n",
    "         markersize = 18)\n",
    "# 可视化两个主成分方向\n",
    "draw_vector(v1,'r')\n",
    "draw_vector(v2,'r')\n",
    "\n",
    "# 绘制两条参考线\n",
    "ax.plot(x1_array,x1_array*v1[1]/v1[0], 'r', \n",
    "        lw = 0.25, ls = 'dashed')\n",
    "ax.plot(x1_array,x1_array*v2[1]/v2[0], 'r', \n",
    "        lw = 0.25, ls = 'dashed')\n",
    "\n",
    "ax.axvline(x = 0, c = 'k'); ax.axhline(y = 0, c = 'k')\n",
    "ax.grid('off')\n",
    "ax.set_aspect('equal', adjustable='box')\n",
    "ax.set_xbound(lower = -6, upper = 6); ax.set_ybound(lower = -6, upper = 6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "09a9e178-5b69-41cf-9874-8c7bea40690a",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 完成投影\n",
    "proj1 = v1@v1.T\n",
    "\n",
    "z1_2D = X_scaled@proj1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "5cf83852-4555-4fc5-9b9b-f478aea7cf1f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "plt.contourf(xx1, xx2, mahal_dd, \n",
    "             cmap='Blues_r', levels=np.linspace(0,6,13))\n",
    "\n",
    "plt.scatter(X_scaled[:,0],X_scaled[:,1], \n",
    "            s = 38, edgecolor = 'w', alpha = 0.5,\n",
    "            marker = '.', color = 'k')\n",
    "\n",
    "plt.plot(X_scaled[:,0].mean(),X_scaled[:,1].mean(), \n",
    "         marker = 'x',\n",
    "         color = 'k', \n",
    "         markersize = 18)\n",
    "\n",
    "plt.scatter(z1_2D[:,0],z1_2D[:,1], \n",
    "            s = 38, edgecolor = 'w', alpha = 0.5,\n",
    "            marker = '.', color = 'r')\n",
    "plt.plot(([i for (i,j) in z1_2D], [i for (i,j) in X_scaled]),\n",
    "         ([j for (i,j) in z1_2D], [j for (i,j) in X_scaled]),\n",
    "         c='k', lw = 0.25)\n",
    "\n",
    "draw_vector(v1,'r')\n",
    "ax.plot(x1_array,x1_array*v1[1]/v1[0], 'r', lw = 0.25)\n",
    "\n",
    "ax.axvline(x = 0, c = 'k')\n",
    "ax.axhline(y = 0, c = 'k')\n",
    "ax.grid('off')\n",
    "ax.set_aspect('equal', adjustable='box')\n",
    "ax.set_xbound(lower = -6, upper = 6)\n",
    "ax.set_ybound(lower = -6, upper = 6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "62240e0f-4dd3-48b4-91e4-e4fcb35d7a45",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 完成投影\n",
    "proj2 = v2@v2.T\n",
    "\n",
    "z2_2D = X_scaled@proj2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "f476db7c-a254-47af-818c-53be91f9d26a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "plt.contourf(xx1, xx2, mahal_dd, \n",
    "             cmap='Blues_r', levels=np.linspace(0,6,13))\n",
    "\n",
    "plt.scatter(X_scaled[:,0],X_scaled[:,1], \n",
    "            s = 38, edgecolor = 'w', alpha = 0.5,\n",
    "            marker = '.', color = 'k')\n",
    "\n",
    "plt.plot(X_scaled[:,0].mean(),X_scaled[:,1].mean(), \n",
    "         marker = 'x',\n",
    "         color = 'k', \n",
    "         markersize = 18)\n",
    "\n",
    "plt.scatter(z2_2D[:,0],z2_2D[:,1], \n",
    "            s = 38, edgecolor = 'w', alpha = 0.5,\n",
    "            marker = '.', color = 'r')\n",
    "plt.plot(([i for (i,j) in z2_2D], [i for (i,j) in X_scaled]),\n",
    "         ([j for (i,j) in z2_2D], [j for (i,j) in X_scaled]),\n",
    "         c='k', lw = 0.25)\n",
    "\n",
    "draw_vector(v2,'r')\n",
    "ax.plot(x1_array,x1_array*v2[1]/v2[0], 'r', lw = 0.25)\n",
    "\n",
    "ax.axvline(x = 0, c = 'k')\n",
    "ax.axhline(y = 0, c = 'k')\n",
    "ax.grid('off')\n",
    "ax.set_aspect('equal', adjustable='box')\n",
    "ax.set_xbound(lower = -6, upper = 6)\n",
    "ax.set_ybound(lower = -6, upper = 6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ada2e8c4-5919-440c-9600-3dfe02bc9b04",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "b202c2d1-254c-483f-9ae9-3545c3be7ed5",
   "metadata": {},
   "outputs": [],
   "source": [
    "Z = X_scaled @ V\n",
    "COV = EmpiricalCovariance().fit(Z)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "a9244166-0a1d-423d-a122-46d25ac90010",
   "metadata": {},
   "outputs": [],
   "source": [
    "mahal_sq_Xc = COV.mahalanobis(xx12)\n",
    "mahal_sq_dd = mahal_sq_Xc.reshape(xx1.shape)\n",
    "mahal_dd = np.sqrt(mahal_sq_dd)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "295567d0-6629-463a-a043-b396a73558f7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "plt.contourf(xx1, xx2, mahal_dd, \n",
    "             cmap='Blues_r', levels=np.linspace(0,6,13))\n",
    "\n",
    "plt.scatter(Z[:,0],Z[:,1], \n",
    "            s = 38, edgecolor = 'w', alpha = 0.5,\n",
    "            marker = '.', color = 'k')\n",
    "\n",
    "plt.plot(X_scaled[:,0].mean(),X_scaled[:,1].mean(), \n",
    "         marker = 'x',\n",
    "         color = 'k', \n",
    "         markersize = 18)\n",
    "\n",
    "ax.axvline(x = 0, c = 'k')\n",
    "ax.axhline(y = 0, c = 'k')\n",
    "ax.grid('off')\n",
    "ax.set_aspect('equal', adjustable='box')\n",
    "ax.set_xbound(lower = -6, upper = 6)\n",
    "ax.set_ybound(lower = -6, upper = 6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "23f4089d-22e4-4b28-8cb0-1e00b6745a36",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
